Characterizations of Lie-type derivations of triangular algebras with local actions

DOI10.1007/s12215-021-00642-6OpenAlexW3186609617MaRDI QIDQ2154670

Mohammad Afajal Ansari, Mohammad Ashraf, Mohd Shuaib Akhtar

Publication date: 20 July 2022

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-021-00642-6

zbMATH Keywords

triangular algebraLie derivationLie \(n\)-derivation

Mathematics Subject Classification ID

Derivations, actions of Lie algebras (16W25) Other algebras built from modules (15A78)

Cites Work

• Unnamed Item
• Multiplicative Lie \(n\)-derivations of triangular rings.
• Lie triple derivations of triangular algebras.
• Characterizations of Lie derivations of triangular algebras.
• Characterizations of Lie derivations of \(B(X)\)
• Derivations of nest algebras
• The structure of Lie derivations on \(C^{\ast}\)-algebras
• Lie derivations of generalized matrix algebras.
• Characterization of Lie derivations on von Neumann algebras
• Multiplicative Lie \(n\)-derivations of generalized matrix algebras.
• Lie \(n\)-derivations of unital algebras with idempotents.
• Characterizing derivations on von Neumann algebras by local actions
• Nonlinear Lie-type derivations of von Neumann algebras and related topics
• Commuting Maps of Triangular Algebras
• A Generalization of the Ring of Triangular Matrices
• Lie Derivations of Triangular Algebras
• Nonlinear generalized Lie n-derivations on triangular algebras
• Nonlinear generalized Lie triple derivation on triangular algebras
• Characterizing Lien-derivations for reflexive algebras
• Multiplicative generalized Lie triple derivations on generalized matrix algebras
• Multiplicative ∗-Jordan type higher derivations on von Neumann algebras
• LIE TRIPLE DERIVATIONS ON FACTOR VON NEUMANN ALGEBRAS
• Lie triple higher derivable maps on rings